![]() Shell method, because the number of integrals required in this method is less than in the disk method and washer method. ![]() Washer method, because the number of integrals required in this method is less than in the disk method and shell method. Disk method, because the number of integrals required in this method is less than in the washer method and shell method. For some of the problems graphs are included and for others students must graph the functions. For each of 10 problem students determine the method and set up the integrals online. (b) Find the volume of the solid generated by revolving the. 5) y x2 2 y 2 x 2 Axis: y 2 x y 8 6 4 2 2 4 6 8 8 6 4 2 2 4 6 8 6) x y + 3 x y 2 + 3 Axis: x 1 x y 8 6 4 2 2 4 6 8 8 6 4 2 2 4 6 8 Critical thinking questions: 7) Use the method of disks to derive the formula for the volume of a sphere of. Area and Volume Consider the region bounded by the graphs Of the equations y x x 1 and y 0. 1,1) 1 *-3y2-2 =y -2 1 How many integrals would be required in the disk method? How many integrals would be required in the washer method? How many integrals would be required in the shell method? Which of the following methods would be used to find the volume of the solid? OA. Your students determine the volume of the solid of revolution by using Disk, Washer, and Cylindrical Shells methods. You may use the provided graph to sketch the curves and shade the enclosed region. How many integrals would be required in each method? Which of the methods is preferable for finding the volume? Explain 2- your answer. There are three methods (disk, washer, and shell) to find the volume of the solid. ![]() Transcribed image text: The region in the graph shown to the right is to be revolved about the x-axis to generate a solid. ![]()
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